Right triangle problem,please check

[zafer]

Right triangle problem,please check!

Homework Statement

In the figure,TN=NK, ST=12 and SN=$$\sqrt{69}$$.Find the length of TK.
[PLAIN]http://img695.imageshack.us/img695/633/50042657.png

Homework Equations

Pythagorean Theorem

The Attempt at a Solution

Segment SN is the median of the right triangle.Here its not given the other leg how can we find a or b ?

 

[Dickfore]

There are two right angled triangles on the picture. They have a common side. Although you do not know the length of it, I would suggest you mark it with some letter. Then, write out Pythagora's Theorem for both of them. You will have two equations for two unknowns.

 

[zafer]

Yes,you are right, thanks a lot.I got the correct answer